{ "id": "2312.00599", "version": "v1", "published": "2023-12-01T14:05:04.000Z", "updated": "2023-12-01T14:05:04.000Z", "title": "Two Results in the Quantum Theory of Measurements", "authors": [ "Simone Del Vecchio", "Jürg Fröhlich", "Alessandro Pizzo", "Alessio Ranallo" ], "comment": "14 pages, 0 figures, volume in memory of Giovanni Morchio, to be published by Springer-Nature in 2024", "categories": [ "quant-ph", "math-ph", "math.MP" ], "abstract": "Two theorems with applications to the quantum theory of measurements are stated and proven. The first one clarifies and amends von Neumann's Measurement Postulate used in the Copenhagen interpretation of quantum mechanics. The second one clarifies the relationship between ``events'' and ``measurements'' and the meaning of measurements in the $ETH$-Approach to quantum mechanics.", "revisions": [ { "version": "v1", "updated": "2023-12-01T14:05:04.000Z" } ], "analyses": { "subjects": [ "81-06", "81P15" ], "keywords": [ "quantum theory", "amends von neumanns measurement postulate", "quantum mechanics", "copenhagen interpretation", "applications" ], "note": { "typesetting": "TeX", "pages": 14, "language": "en", "license": "arXiv", "status": "editable" } } }